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Finding the Third Proportional to 22,659.75 and 49,136.63

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Solution

The third proportional to 22,659.75 and 49,136.63 is: 106,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.75 : 49,136.63 = 49,136.63 : x
  2. Step 2: Convert to fraction form
    22,659.75/49,136.63 = 49,136.63/x
  3. Step 3: Cross multiply
    22,659.75x = 49,136.63 × 49,136.63
  4. Step 4: Simplify right side
    22,659.75x = 2,414,407,916.39
  5. Step 5: Solve for x
    x = 2,414,407,916.39/22,659.75
  6. Step 6: Final answer
    x = 106,550.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.